
At this site we maintain a list of the 5000 Largest Known Primes which is updated hourly. This list is the most important databases at The Prime Pages: a collection of research, records and results all about prime numbers. This page summarizes our information about one of these primes. This prime's information:
field (help)  value 
Description:  2^{38090} + 47269 
Verification status (*):  PRP 
Official Comment:  ECPP 
Unofficial Comments:  This prime has 1 user comment below. 
Proofcode(s): (*):  c51 : Luhn, Broadhurst, NewPGen, OpenPFGW, Primo 
Decimal Digits:  11467 (log_{10} is 11466.232534841) 
Rank (*):  74179 (digit rank is 2) 
Entrance Rank (*):  45080 
Currently on list? (*):  no 
Submitted:  5/23/2010 13:45:38 CDT 
Last modified:  9/20/2011 18:36:37 CDT 
Database id:  92821 
Status Flags:  Verify 
Score (*):  32.8641 (normalized score 0) 

Archival tags:
There are certain forms classed as
archivable: these prime may (at times)
remain on this list even if they do not make
the Top 5000 proper. Such primes are tracked with archival
tags.
 Elliptic Curve Primality Proof (archivable *)
 Prime on list: no, rank 128
Subcategory: "ECPP"
(archival tag id 210693, tag last modified 20191003 14:20:22)
User comments about this prime (disclaimer):
User comments are allowed to convey mathematical information about this number, how it was proven prime.... See our guidelines and restrictions.
Verification data:
The Top 5000 Primes is a list for proven primes only. In order to maintain the
integrity of this list, we seek to verify the primality of all submissions.
We are currently unable to check all proofs (ECPP, KP, ...), but we will at least trial
divide and PRP
check every entry before it is included in the list.
field  value 
prime_id  92821 
person_id  9 
machine  RedHat P4 P4 
what  trial_divided 
notes  Command: /home/caldwell/client/TrialDiv/TrialDiv q 1 2 38090 47269 2>&1 [Elapsed time: 8.130 seconds]

modified  20111227 16:48:39 
created  20100523 13:48:01 
id  115022 

field  value 
prime_id  92821 
person_id  9 
machine  RedHat P4 P4 
what  prp 
notes  Command: /home/caldwell/client/pfgw tc q"2^38090+47269" 2>&1 PFGW Version 20031027.x86_Dev (Beta 'caveat utilitor') [FFT v22.13 w/P4] Primality testing 2^38090+47269 [N1/N+1, BrillhartLehmerSelfridge] Running N1 test using base 2 Using SSE2 FFT Adjusting authentication level by 1 for PRIMALITY PROOF Reduced from FFT(5120,21) to FFT(5120,20) Reduced from FFT(5120,20) to FFT(5120,19) Reduced from FFT(5120,19) to FFT(5120,18) Reduced from FFT(5120,18) to FFT(5120,17) Reduced from FFT(5120,17) to FFT(5120,16) 76190 bit request FFT size=(5120,16) Running N+1 test using discriminant 5, base 5+sqrt(5) Using SSE2 FFT Adjusting authentication level by 1 for PRIMALITY PROOF Reduced from FFT(5120,21) to FFT(5120,20) Reduced from FFT(5120,20) to FFT(5120,19) Reduced from FFT(5120,19) to FFT(5120,18) Reduced from FFT(5120,18) to FFT(5120,17) Reduced from FFT(5120,17) to FFT(5120,16) 76198 bit request FFT size=(5120,16) Calling N+1 BLS with factored part 0.05% and helper 0.04% (0.20% proof) 2^38090+47269 is Fermat and Lucas PRP! (49.3700s+0.0000s) [Elapsed time: 49.00 seconds]

modified  20101013 12:41:38 
created  20100523 13:53:02 
id  115023 

Query times: 0.0004 seconds to select prime, 0.0007 seconds to seek comments.
